The current Monumental Cloister was begun in 1605 and completed in 1653, designed by the Jesuit architect Giuseppe Valeriano since the De Rosis had been recalled to Rome for the construction of the Roman College.

[2] The Society of Jesus values the work, as attested by two plaques in honour of the benefactors Roberta Carafa of Stigliano (dated 1583 and placed on the portal) and Cesare del Ponte (built in 1653 and designed by Cosimo Fanzago).

The latter plaque is located in the courtyard and is distinguished by a marble coat of arms on which is engraved in Latin: "Children of Cesare De Ponte, with the father's wealth, built the entire school in 1605.

After a brief period that saw the return of the Jesuits before their renewed expulsion from the Kingdom of Naples, the University settled permanently in the complex under Joseph Bonaparte.

It was in those years of French domination that imposing monuments were added to the courtyard under the guidance of Stefano Gasse, official architect of the Royal University.